Let's solve each equation step by step:
First, let's simplify both sides of the equation:
1600 - 65x = 1215 + 45x1600 - 1215 = 45x + 65x385 = 110x
Now, divide by 110 to solve for x:
x = 385 / 110x = 3.5
So, the solution to the first equation is x = 3.5
First, distribute the 5 to the terms inside the parentheses:
4x + 15 - 10x = 5 - 11x
Combine like terms on both sides:
4x - 10x + 15 = 5 - 11x-6x + 15 = 5 - 11x
Now, add 11x to both sides and subtract 15:
-6x + 11x + 15 = 5 - 11x + 11x5x + 15 = 5
Finally, subtract 15 from both sides to solve for x:
5x = 5 - 155x = -10x = -10 / 5x = -2
So, the solution to the second equation is x = -2
Therefore, the solution set for both equations is x = 3.5 and x = -2.
Let's solve each equation step by step:
1600 - 65x = 1215 + 45xFirst, let's simplify both sides of the equation:
1600 - 65x = 1215 + 45x
1600 - 1215 = 45x + 65x
385 = 110x
Now, divide by 110 to solve for x:
x = 385 / 110
x = 3.5
So, the solution to the first equation is x = 3.5
4x + 5(3 - 2x) = 5 - 11xFirst, distribute the 5 to the terms inside the parentheses:
4x + 15 - 10x = 5 - 11x
Combine like terms on both sides:
4x - 10x + 15 = 5 - 11x
-6x + 15 = 5 - 11x
Now, add 11x to both sides and subtract 15:
-6x + 11x + 15 = 5 - 11x + 11x
5x + 15 = 5
Finally, subtract 15 from both sides to solve for x:
5x = 5 - 15
5x = -10
x = -10 / 5
x = -2
So, the solution to the second equation is x = -2
Therefore, the solution set for both equations is x = 3.5 and x = -2.